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Hari love sachin
1.
WELCOME
2.
HARILAL KRISHNA VISHNU
K N AMITH KUMAR SANOOJ SAURAV S K Trigonometry
3.
WHICH SO OCCUPIES
THERE IS PERHAPS NOTHING THE MIDDLE POSITION OF MATHEMATICS AS TRIGONOMETRY - J.F.HERBART
4.
5.
6.
7.
8.
9.
10.
11.
Â
12.
13.
14.
TRIGONOMETRIC RATIOS
15.
16.
TRIGONOMETRIC RATIOS
17.
Â
18.
Â
19.
Â
20.
21.
Opposite side:
the side opposite the angle angle angle angle opposite opposite opposite opposite angle
22.
Adjacent side:
the side beside the angle adjacent adjacent adjacent adjacent angle angle angle angle
23.
Hypotenuse: the
longest side hypotenuse hypotenuse hypotenuse hypotenuse
24.
Tangent of angle
A A B 90 o C a c b tan( A ) = opposite adjacent a b =
25.
Tangent of angle
B A B 90 o C a c b tan( B ) = opposite adjacent b a =
26.
Sine of angle
A A B 90 o C a c b sin( A ) = = a c opposite hypotenuse
27.
Sine of angle
B A B 90 o C a c b sin( B ) = = b c opposite hypotenuse
28.
Cosine of angle
A A B 90 o C a c b cos( A ) = = b c adjacent hypotenuse
29.
Cosine of angle
B A B 90 o C a c b cos( B ) = = a c adjacent hypotenuse
30.
Example 1 Find
all the angles x, where 0 < x < 4 Ï where sin x = 0.5 Principle value: Using symmetry: Using periodicity: